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gayaneshka [121]
2 years ago
8

,.........................

Mathematics
1 answer:
Rzqust [24]2 years ago
6 0

15.545

Step-by-step explanation:

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Write as many equations as possible that could represent the relationship between
IgorC [24]

Answer:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

5 0
3 years ago
HELP ASAP WILL MARK AS BRAINLIST IF CORRECT
OverLord2011 [107]

The image did not load

4 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
GrogVix [38]

Answer:

<u>1. Type of function</u>: absolute value function

<u>2. The three transformations from the parent function f(x) = |x| are</u>:

  • Translation 3 units to the left
  • Vertical stretch with a scale factor of 2
  • Translation 5 units downward

Explanation:

<u>1. Type of function</u>

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

<u>2. Transformations from the parent function f(x) = |x|</u>.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a)<u> Translation in the horizontal direction</u>.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) <u>Vertical stretch</u>

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) <u>Vertical translation</u>

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

6 0
3 years ago
With _______ insurance, the insured agrees to pay a specific premium each year until death.
Ghella [55]
The answer is A. life insurance that pays a benefit on the death of the insured and also accumulates a cash value.
7 0
3 years ago
Read 2 more answers
A. The slope of the curve y=x^3- 1 at the point P(1,0) is<br> .
Ierofanga [76]

Answer:

3

Step-by-step explanation:

The measure of the slope is \frac{dy}{dx} at x = a

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x³ - 1, then

\frac{dy}{dx} = 3x²

The slope at (1, 0) is

\frac{dy}{dx} = 3(1)² = 3

5 0
3 years ago
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